If x & 1 & 1 2 & 3 & 4 1 & 1 & 1 has no i… - Vidyadip

MCQ

If $\begin{bmatrix}\text{x} &\text{amp; } 1 &\text{amp; 1}\\ 2 &\text{amp; 3} &\text{amp; 4}\\ 1 &\text{amp; 1} &\text{amp; 1}\end{bmatrix}$ has no inverse, then $\text{x}=$

A
-4
B
-2
✓
1
D
-3

✓

Answer

Correct option: C.

1

We know that, If Dett = 0 there is no inverse

⇒ D = x(3 - 4) - 1(2 - 4) + 1(2 - 3) = 0

⇒ -x + 2 - 1 = 0

⇒ x = 1

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